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Finding the Fourth Proportional to 12,606.45, 18,896.71 and 5,589.77

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Solution

The fourth proportional to 12,606.45, 18,896.71 and 5,589.77 is: 8,378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.45 : 18,896.71 = 5,589.77 : x
  2. Step 2: Convert to fraction form
    12,606.45/18,896.71 = 5,589.77/x
  3. Step 3: Cross multiply
    12,606.45x = 18,896.71 × 5,589.77
  4. Step 4: Simplify right side
    12,606.45x = 105,628,259.02
  5. Step 5: Solve for x
    x = 105,628,259.02/12,606.45
  6. Step 6: Final answer
    x = 8,378.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.